What is the Greatest Common Factor of 31980 and 31985?
Greatest common factor (GCF) of 31980 and 31985 is 5.
GCF(31980,31985) = 5
We will now calculate the prime factors of 31980 and 31985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31980 and 31985.
How to find the GCF of 31980 and 31985?
We will first find the prime factorization of 31980 and 31985. After we will calculate the factors of 31980 and 31985 and find the biggest common factor number .
Step-1: Prime Factorization of 31980
Prime factors of 31980 are 2, 3, 5, 13, 41. Prime factorization of 31980 in exponential form is:
31980 = 22 × 31 × 51 × 131 × 411
Step-2: Prime Factorization of 31985
Prime factors of 31985 are 5, 6397. Prime factorization of 31985 in exponential form is:
31985 = 51 × 63971
Step-3: Factors of 31980
List of positive integer factors of 31980 that divides 31980 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 41, 52, 60, 65, 78, 82, 123, 130, 156, 164, 195, 205, 246, 260, 390, 410, 492, 533, 615, 780, 820, 1066, 1230, 1599, 2132, 2460, 2665, 3198, 5330, 6396, 7995, 10660, 15990
Step-4: Factors of 31985
List of positive integer factors of 31985 that divides 31980 without a remainder.
1, 5, 6397
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31980 and 31985. The biggest common factor number is the GCF number.
So the greatest common factor 31980 and 31985 is 5.
Also check out the Least Common Multiple of 31980 and 31985
Related Greatest Common Factors of 31980
- GCF of 31980 and 31984
- GCF of 31980 and 31985
- GCF of 31980 and 31986
- GCF of 31980 and 31987
- GCF of 31980 and 31988
- GCF of 31980 and 31989
- GCF of 31980 and 31990
- GCF of 31980 and 31991
- GCF of 31980 and 31992
- GCF of 31980 and 31993
- GCF of 31980 and 31994
- GCF of 31980 and 31995
- GCF of 31980 and 31996
- GCF of 31980 and 31997
- GCF of 31980 and 31998
- GCF of 31980 and 31999
- GCF of 31980 and 32000
Related Greatest Common Factors of 31985
- GCF of 31985 and 31989
- GCF of 31985 and 31990
- GCF of 31985 and 31991
- GCF of 31985 and 31992
- GCF of 31985 and 31993
- GCF of 31985 and 31994
- GCF of 31985 and 31995
- GCF of 31985 and 31996
- GCF of 31985 and 31997
- GCF of 31985 and 31998
- GCF of 31985 and 31999
- GCF of 31985 and 32000
- GCF of 31985 and 32001
- GCF of 31985 and 32002
- GCF of 31985 and 32003
- GCF of 31985 and 32004
- GCF of 31985 and 32005