What is the Greatest Common Factor of 61696 and 61702?

Greatest common factor (GCF) of 61696 and 61702 is 2.

GCF(61696,61702) = 2

We will now calculate the prime factors of 61696 and 61702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61696 and 61702.

How to find the GCF of 61696 and 61702?

We will first find the prime factorization of 61696 and 61702. After we will calculate the factors of 61696 and 61702 and find the biggest common factor number .

Step-1: Prime Factorization of 61696

Prime factors of 61696 are 2, 241. Prime factorization of 61696 in exponential form is:

61696 = 2⁸ × 241¹

Step-2: Prime Factorization of 61702

Prime factors of 61702 are 2, 30851. Prime factorization of 61702 in exponential form is:

61702 = 2¹ × 30851¹

Step-3: Factors of 61696

List of positive integer factors of 61696 that divides 61696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 241, 256, 482, 964, 1928, 3856, 7712, 15424, 30848

Step-4: Factors of 61702

List of positive integer factors of 61702 that divides 61696 without a remainder.

1, 2, 30851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61696 and 61702. The biggest common factor number is the GCF number.
So the greatest common factor 61696 and 61702 is 2.

Also check out the Least Common Multiple of 61696 and 61702