What is the Greatest Common Factor of 61510 and 61516?

Greatest common factor (GCF) of 61510 and 61516 is 2.

GCF(61510,61516) = 2

We will now calculate the prime factors of 61510 and 61516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61510 and 61516.

How to find the GCF of 61510 and 61516?

We will first find the prime factorization of 61510 and 61516. After we will calculate the factors of 61510 and 61516 and find the biggest common factor number .

Step-1: Prime Factorization of 61510

Prime factors of 61510 are 2, 5, 6151. Prime factorization of 61510 in exponential form is:

61510 = 2¹ × 5¹ × 6151¹

Step-2: Prime Factorization of 61516

Prime factors of 61516 are 2, 7, 13. Prime factorization of 61516 in exponential form is:

61516 = 2² × 7¹ × 13³

Step-3: Factors of 61510

List of positive integer factors of 61510 that divides 61510 without a remainder.

1, 2, 5, 10, 6151, 12302, 30755

Step-4: Factors of 61516

List of positive integer factors of 61516 that divides 61510 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2197, 2366, 4394, 4732, 8788, 15379, 30758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61510 and 61516. The biggest common factor number is the GCF number.
So the greatest common factor 61510 and 61516 is 2.

Also check out the Least Common Multiple of 61510 and 61516