What is the Greatest Common Factor of 79629 and 79648?

Greatest common factor (GCF) of 79629 and 79648 is 19.

GCF(79629,79648) = 19

We will now calculate the prime factors of 79629 and 79648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79629 and 79648.

How to find the GCF of 79629 and 79648?

We will first find the prime factorization of 79629 and 79648. After we will calculate the factors of 79629 and 79648 and find the biggest common factor number .

Step-1: Prime Factorization of 79629

Prime factors of 79629 are 3, 11, 19, 127. Prime factorization of 79629 in exponential form is:

79629 = 3¹ × 11¹ × 19¹ × 127¹

Step-2: 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-3: Factors of 79629

List of positive integer factors of 79629 that divides 79629 without a remainder.

1, 3, 11, 19, 33, 57, 127, 209, 381, 627, 1397, 2413, 4191, 7239, 26543

Step-4: Factors of 79648

List of positive integer factors of 79648 that divides 79629 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79629 and 79648. The biggest common factor number is the GCF number.
So the greatest common factor 79629 and 79648 is 19.

Also check out the Least Common Multiple of 79629 and 79648