What is the Greatest Common Factor of 88140 and 88150?

Greatest common factor (GCF) of 88140 and 88150 is 10.

GCF(88140,88150) = 10

We will now calculate the prime factors of 88140 and 88150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88140 and 88150.

How to find the GCF of 88140 and 88150?

We will first find the prime factorization of 88140 and 88150. After we will calculate the factors of 88140 and 88150 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 88150

Prime factors of 88150 are 2, 5, 41, 43. Prime factorization of 88150 in exponential form is:

88150 = 2¹ × 5² × 41¹ × 43¹

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 88150

List of positive integer factors of 88150 that divides 88140 without a remainder.

1, 2, 5, 10, 25, 41, 43, 50, 82, 86, 205, 215, 410, 430, 1025, 1075, 1763, 2050, 2150, 3526, 8815, 17630, 44075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88140 and 88150. The biggest common factor number is the GCF number.
So the greatest common factor 88140 and 88150 is 10.

Also check out the Least Common Multiple of 88140 and 88150