What is the Greatest Common Factor of 79648 and 79667?

Greatest common factor (GCF) of 79648 and 79667 is 19.

GCF(79648,79667) = 19

We will now calculate the prime factors of 79648 and 79667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79648 and 79667.

How to find the GCF of 79648 and 79667?

We will first find the prime factorization of 79648 and 79667. After we will calculate the factors of 79648 and 79667 and find the biggest common factor number .

Step-1: Prime Factorization of 79648

Prime factors of 79648 are 2, 19, 131. Prime factorization of 79648 in exponential form is:

79648 = 2⁵ × 19¹ × 131¹

Step-2: Prime Factorization of 79667

Prime factors of 79667 are 7, 19, 599. Prime factorization of 79667 in exponential form is:

79667 = 7¹ × 19¹ × 599¹

Step-3: Factors of 79648

List of positive integer factors of 79648 that divides 79648 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 131, 152, 262, 304, 524, 608, 1048, 2096, 2489, 4192, 4978, 9956, 19912, 39824

Step-4: Factors of 79667

List of positive integer factors of 79667 that divides 79648 without a remainder.

1, 7, 19, 133, 599, 4193, 11381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79648 and 79667. The biggest common factor number is the GCF number.
So the greatest common factor 79648 and 79667 is 19.

Also check out the Least Common Multiple of 79648 and 79667