What is the Greatest Common Factor of 88140 and 88149?

Greatest common factor (GCF) of 88140 and 88149 is 3.

GCF(88140,88149) = 3

We will now calculate the prime factors of 88140 and 88149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88140 and 88149.

How to find the GCF of 88140 and 88149?

We will first find the prime factorization of 88140 and 88149. After we will calculate the factors of 88140 and 88149 and find the biggest common factor number .

Step-1: Prime Factorization of 88140

Prime factors of 88140 are 2, 3, 5, 13, 113. Prime factorization of 88140 in exponential form is:

88140 = 2² × 3¹ × 5¹ × 13¹ × 113¹

Step-2: Prime Factorization of 88149

Prime factors of 88149 are 3, 29383. Prime factorization of 88149 in exponential form is:

88149 = 3¹ × 29383¹

Step-3: Factors of 88140

List of positive integer factors of 88140 that divides 88140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 113, 130, 156, 195, 226, 260, 339, 390, 452, 565, 678, 780, 1130, 1356, 1469, 1695, 2260, 2938, 3390, 4407, 5876, 6780, 7345, 8814, 14690, 17628, 22035, 29380, 44070

Step-4: Factors of 88149

List of positive integer factors of 88149 that divides 88140 without a remainder.

1, 3, 29383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88140 and 88149. The biggest common factor number is the GCF number.
So the greatest common factor 88140 and 88149 is 3.

Also check out the Least Common Multiple of 88140 and 88149