What is the Greatest Common Factor of 55696 and 55702?

Greatest common factor (GCF) of 55696 and 55702 is 2.

GCF(55696,55702) = 2

We will now calculate the prime factors of 55696 and 55702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55696 and 55702.

How to find the GCF of 55696 and 55702?

We will first find the prime factorization of 55696 and 55702. After we will calculate the factors of 55696 and 55702 and find the biggest common factor number .

Step-1: Prime Factorization of 55696

Prime factors of 55696 are 2, 59. Prime factorization of 55696 in exponential form is:

55696 = 2⁴ × 59²

Step-2: Prime Factorization of 55702

Prime factors of 55702 are 2, 27851. Prime factorization of 55702 in exponential form is:

55702 = 2¹ × 27851¹

Step-3: Factors of 55696

List of positive integer factors of 55696 that divides 55696 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944, 3481, 6962, 13924, 27848

Step-4: Factors of 55702

List of positive integer factors of 55702 that divides 55696 without a remainder.

1, 2, 27851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55696 and 55702. The biggest common factor number is the GCF number.
So the greatest common factor 55696 and 55702 is 2.

Also check out the Least Common Multiple of 55696 and 55702