What is the Greatest Common Factor of 92610 and 92624?

Greatest common factor (GCF) of 92610 and 92624 is 14.

GCF(92610,92624) = 14

We will now calculate the prime factors of 92610 and 92624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92610 and 92624.

How to find the GCF of 92610 and 92624?

We will first find the prime factorization of 92610 and 92624. After we will calculate the factors of 92610 and 92624 and find the biggest common factor number .

Step-1: Prime Factorization of 92610

Prime factors of 92610 are 2, 3, 5, 7. Prime factorization of 92610 in exponential form is:

92610 = 2¹ × 3³ × 5¹ × 7³

Step-2: Prime Factorization of 92624

Prime factors of 92624 are 2, 7, 827. Prime factorization of 92624 in exponential form is:

92624 = 2⁴ × 7¹ × 827¹

Step-3: Factors of 92610

List of positive integer factors of 92610 that divides 92610 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 90, 98, 105, 126, 135, 147, 189, 210, 245, 270, 294, 315, 343, 378, 441, 490, 630, 686, 735, 882, 945, 1029, 1323, 1470, 1715, 1890, 2058, 2205, 2646, 3087, 3430, 4410, 5145, 6174, 6615, 9261, 10290, 13230, 15435, 18522, 30870, 46305

Step-4: Factors of 92624

List of positive integer factors of 92624 that divides 92610 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 827, 1654, 3308, 5789, 6616, 11578, 13232, 23156, 46312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92610 and 92624. The biggest common factor number is the GCF number.
So the greatest common factor 92610 and 92624 is 14.

Also check out the Least Common Multiple of 92610 and 92624