What is the Greatest Common Factor of 69638 and 69648?

Greatest common factor (GCF) of 69638 and 69648 is 2.

GCF(69638,69648) = 2

We will now calculate the prime factors of 69638 and 69648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69638 and 69648.

How to find the GCF of 69638 and 69648?

We will first find the prime factorization of 69638 and 69648. After we will calculate the factors of 69638 and 69648 and find the biggest common factor number .

Step-1: Prime Factorization of 69638

Prime factors of 69638 are 2, 34819. Prime factorization of 69638 in exponential form is:

69638 = 2¹ × 34819¹

Step-2: Prime Factorization of 69648

Prime factors of 69648 are 2, 3, 1451. Prime factorization of 69648 in exponential form is:

69648 = 2⁴ × 3¹ × 1451¹

Step-3: Factors of 69638

List of positive integer factors of 69638 that divides 69638 without a remainder.

1, 2, 34819

Step-4: Factors of 69648

List of positive integer factors of 69648 that divides 69638 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1451, 2902, 4353, 5804, 8706, 11608, 17412, 23216, 34824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69638 and 69648. The biggest common factor number is the GCF number.
So the greatest common factor 69638 and 69648 is 2.

Also check out the Least Common Multiple of 69638 and 69648