What is the Greatest Common Factor of 53702 and 53708?

Greatest common factor (GCF) of 53702 and 53708 is 2.

GCF(53702,53708) = 2

We will now calculate the prime factors of 53702 and 53708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53702 and 53708.

How to find the GCF of 53702 and 53708?

We will first find the prime factorization of 53702 and 53708. After we will calculate the factors of 53702 and 53708 and find the biggest common factor number .

Step-1: Prime Factorization of 53702

Prime factors of 53702 are 2, 11, 2441. Prime factorization of 53702 in exponential form is:

53702 = 2¹ × 11¹ × 2441¹

Step-2: Prime Factorization of 53708

Prime factors of 53708 are 2, 29, 463. Prime factorization of 53708 in exponential form is:

53708 = 2² × 29¹ × 463¹

Step-3: Factors of 53702

List of positive integer factors of 53702 that divides 53702 without a remainder.

1, 2, 11, 22, 2441, 4882, 26851

Step-4: Factors of 53708

List of positive integer factors of 53708 that divides 53702 without a remainder.

1, 2, 4, 29, 58, 116, 463, 926, 1852, 13427, 26854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53702 and 53708. The biggest common factor number is the GCF number.
So the greatest common factor 53702 and 53708 is 2.

Also check out the Least Common Multiple of 53702 and 53708