What is the Greatest Common Factor of 92040 and 92053?

Greatest common factor (GCF) of 92040 and 92053 is 13.

GCF(92040,92053) = 13

We will now calculate the prime factors of 92040 and 92053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92040 and 92053.

How to find the GCF of 92040 and 92053?

We will first find the prime factorization of 92040 and 92053. After we will calculate the factors of 92040 and 92053 and find the biggest common factor number .

Step-1: Prime Factorization of 92040

Prime factors of 92040 are 2, 3, 5, 13, 59. Prime factorization of 92040 in exponential form is:

92040 = 2³ × 3¹ × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 92053

Prime factors of 92053 are 13, 73, 97. Prime factorization of 92053 in exponential form is:

92053 = 13¹ × 73¹ × 97¹

Step-3: Factors of 92040

List of positive integer factors of 92040 that divides 92040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 59, 60, 65, 78, 104, 118, 120, 130, 156, 177, 195, 236, 260, 295, 312, 354, 390, 472, 520, 590, 708, 767, 780, 885, 1180, 1416, 1534, 1560, 1770, 2301, 2360, 3068, 3540, 3835, 4602, 6136, 7080, 7670, 9204, 11505, 15340, 18408, 23010, 30680, 46020

Step-4: Factors of 92053

List of positive integer factors of 92053 that divides 92040 without a remainder.

1, 13, 73, 97, 949, 1261, 7081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92040 and 92053. The biggest common factor number is the GCF number.
So the greatest common factor 92040 and 92053 is 13.

Also check out the Least Common Multiple of 92040 and 92053