What is the Greatest Common Factor of 11974 and 11984?
Greatest common factor (GCF) of 11974 and 11984 is 2.
GCF(11974,11984) = 2
We will now calculate the prime factors of 11974 and 11984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11974 and 11984.
How to find the GCF of 11974 and 11984?
We will first find the prime factorization of 11974 and 11984. After we will calculate the factors of 11974 and 11984 and find the biggest common factor number .
Step-1: Prime Factorization of 11974
Prime factors of 11974 are 2, 5987. Prime factorization of 11974 in exponential form is:
11974 = 21 × 59871
Step-2: Prime Factorization of 11984
Prime factors of 11984 are 2, 7, 107. Prime factorization of 11984 in exponential form is:
11984 = 24 × 71 × 1071
Step-3: Factors of 11974
List of positive integer factors of 11974 that divides 11974 without a remainder.
1, 2, 5987
Step-4: Factors of 11984
List of positive integer factors of 11984 that divides 11974 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 107, 112, 214, 428, 749, 856, 1498, 1712, 2996, 5992
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11974 and 11984. The biggest common factor number is the GCF number.
So the greatest common factor 11974 and 11984 is 2.
Also check out the Least Common Multiple of 11974 and 11984
Related Greatest Common Factors of 11974
- GCF of 11974 and 11978
- GCF of 11974 and 11979
- GCF of 11974 and 11980
- GCF of 11974 and 11981
- GCF of 11974 and 11982
- GCF of 11974 and 11983
- GCF of 11974 and 11984
- GCF of 11974 and 11985
- GCF of 11974 and 11986
- GCF of 11974 and 11987
- GCF of 11974 and 11988
- GCF of 11974 and 11989
- GCF of 11974 and 11990
- GCF of 11974 and 11991
- GCF of 11974 and 11992
- GCF of 11974 and 11993
- GCF of 11974 and 11994
Related Greatest Common Factors of 11984
- GCF of 11984 and 11988
- GCF of 11984 and 11989
- GCF of 11984 and 11990
- GCF of 11984 and 11991
- GCF of 11984 and 11992
- GCF of 11984 and 11993
- GCF of 11984 and 11994
- GCF of 11984 and 11995
- GCF of 11984 and 11996
- GCF of 11984 and 11997
- GCF of 11984 and 11998
- GCF of 11984 and 11999
- GCF of 11984 and 12000
- GCF of 11984 and 12001
- GCF of 11984 and 12002
- GCF of 11984 and 12003
- GCF of 11984 and 12004