What is the Greatest Common Factor of 79632 and 79648?

Greatest common factor (GCF) of 79632 and 79648 is 16.

GCF(79632,79648) = 16

We will now calculate the prime factors of 79632 and 79648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79632 and 79648.

How to find the GCF of 79632 and 79648?

We will first find the prime factorization of 79632 and 79648. After we will calculate the factors of 79632 and 79648 and find the biggest common factor number .

Step-1: Prime Factorization of 79632

Prime factors of 79632 are 2, 3, 7, 79. Prime factorization of 79632 in exponential form is:

79632 = 2⁴ × 3² × 7¹ × 79¹

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 79632

List of positive integer factors of 79632 that divides 79632 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 79, 84, 112, 126, 144, 158, 168, 237, 252, 316, 336, 474, 504, 553, 632, 711, 948, 1008, 1106, 1264, 1422, 1659, 1896, 2212, 2844, 3318, 3792, 4424, 4977, 5688, 6636, 8848, 9954, 11376, 13272, 19908, 26544, 39816

Step-4: Factors of 79648

List of positive integer factors of 79648 that divides 79632 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 79632 and 79648. The biggest common factor number is the GCF number.
So the greatest common factor 79632 and 79648 is 16.

Also check out the Least Common Multiple of 79632 and 79648