What is the Greatest Common Factor of 31510 and 31522?
Greatest common factor (GCF) of 31510 and 31522 is 2.
GCF(31510,31522) = 2
We will now calculate the prime factors of 31510 and 31522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31510 and 31522.
How to find the GCF of 31510 and 31522?
We will first find the prime factorization of 31510 and 31522. After we will calculate the factors of 31510 and 31522 and find the biggest common factor number .
Step-1: Prime Factorization of 31510
Prime factors of 31510 are 2, 5, 23, 137. Prime factorization of 31510 in exponential form is:
31510 = 21 × 51 × 231 × 1371
Step-2: Prime Factorization of 31522
Prime factors of 31522 are 2, 15761. Prime factorization of 31522 in exponential form is:
31522 = 21 × 157611
Step-3: Factors of 31510
List of positive integer factors of 31510 that divides 31510 without a remainder.
1, 2, 5, 10, 23, 46, 115, 137, 230, 274, 685, 1370, 3151, 6302, 15755
Step-4: Factors of 31522
List of positive integer factors of 31522 that divides 31510 without a remainder.
1, 2, 15761
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31510 and 31522. The biggest common factor number is the GCF number.
So the greatest common factor 31510 and 31522 is 2.
Also check out the Least Common Multiple of 31510 and 31522
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