What is the Greatest Common Factor of 79618 and 79632?

Greatest common factor (GCF) of 79618 and 79632 is 14.

GCF(79618,79632) = 14

We will now calculate the prime factors of 79618 and 79632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79618 and 79632.

How to find the GCF of 79618 and 79632?

We will first find the prime factorization of 79618 and 79632. After we will calculate the factors of 79618 and 79632 and find the biggest common factor number .

Step-1: Prime Factorization of 79618

Prime factors of 79618 are 2, 7, 11, 47. Prime factorization of 79618 in exponential form is:

79618 = 2¹ × 7¹ × 11² × 47¹

Step-2: 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-3: Factors of 79618

List of positive integer factors of 79618 that divides 79618 without a remainder.

1, 2, 7, 11, 14, 22, 47, 77, 94, 121, 154, 242, 329, 517, 658, 847, 1034, 1694, 3619, 5687, 7238, 11374, 39809

Step-4: Factors of 79632

List of positive integer factors of 79632 that divides 79618 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79618 and 79632. The biggest common factor number is the GCF number.
So the greatest common factor 79618 and 79632 is 14.

Also check out the Least Common Multiple of 79618 and 79632