What is the Greatest Common Factor of 39650 and 39658?

Greatest common factor (GCF) of 39650 and 39658 is 2.

GCF(39650,39658) = 2

We will now calculate the prime factors of 39650 and 39658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39650 and 39658.

How to find the GCF of 39650 and 39658?

We will first find the prime factorization of 39650 and 39658. After we will calculate the factors of 39650 and 39658 and find the biggest common factor number .

Step-1: Prime Factorization of 39650

Prime factors of 39650 are 2, 5, 13, 61. Prime factorization of 39650 in exponential form is:

39650 = 2¹ × 5² × 13¹ × 61¹

Step-2: Prime Factorization of 39658

Prime factors of 39658 are 2, 79, 251. Prime factorization of 39658 in exponential form is:

39658 = 2¹ × 79¹ × 251¹

Step-3: Factors of 39650

List of positive integer factors of 39650 that divides 39650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 61, 65, 122, 130, 305, 325, 610, 650, 793, 1525, 1586, 3050, 3965, 7930, 19825

Step-4: Factors of 39658

List of positive integer factors of 39658 that divides 39650 without a remainder.

1, 2, 79, 158, 251, 502, 19829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39650 and 39658. The biggest common factor number is the GCF number.
So the greatest common factor 39650 and 39658 is 2.

Also check out the Least Common Multiple of 39650 and 39658