What is the Greatest Common Factor of 59652 and 59662?

Greatest common factor (GCF) of 59652 and 59662 is 2.

GCF(59652,59662) = 2

We will now calculate the prime factors of 59652 and 59662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59652 and 59662.

How to find the GCF of 59652 and 59662?

We will first find the prime factorization of 59652 and 59662. After we will calculate the factors of 59652 and 59662 and find the biggest common factor number .

Step-1: Prime Factorization of 59652

Prime factors of 59652 are 2, 3, 1657. Prime factorization of 59652 in exponential form is:

59652 = 2² × 3² × 1657¹

Step-2: Prime Factorization of 59662

Prime factors of 59662 are 2, 23, 1297. Prime factorization of 59662 in exponential form is:

59662 = 2¹ × 23¹ × 1297¹

Step-3: Factors of 59652

List of positive integer factors of 59652 that divides 59652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1657, 3314, 4971, 6628, 9942, 14913, 19884, 29826

Step-4: Factors of 59662

List of positive integer factors of 59662 that divides 59652 without a remainder.

1, 2, 23, 46, 1297, 2594, 29831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59652 and 59662. The biggest common factor number is the GCF number.
So the greatest common factor 59652 and 59662 is 2.

Also check out the Least Common Multiple of 59652 and 59662