What is the Greatest Common Factor of 88750 and 88770?

Greatest common factor (GCF) of 88750 and 88770 is 10.

GCF(88750,88770) = 10

We will now calculate the prime factors of 88750 and 88770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88750 and 88770.

How to find the GCF of 88750 and 88770?

We will first find the prime factorization of 88750 and 88770. After we will calculate the factors of 88750 and 88770 and find the biggest common factor number .

Step-1: Prime Factorization of 88750

Prime factors of 88750 are 2, 5, 71. Prime factorization of 88750 in exponential form is:

88750 = 2¹ × 5⁴ × 71¹

Step-2: Prime Factorization of 88770

Prime factors of 88770 are 2, 3, 5, 11, 269. Prime factorization of 88770 in exponential form is:

88770 = 2¹ × 3¹ × 5¹ × 11¹ × 269¹

Step-3: Factors of 88750

List of positive integer factors of 88750 that divides 88750 without a remainder.

1, 2, 5, 10, 25, 50, 71, 125, 142, 250, 355, 625, 710, 1250, 1775, 3550, 8875, 17750, 44375

Step-4: Factors of 88770

List of positive integer factors of 88770 that divides 88750 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 269, 330, 538, 807, 1345, 1614, 2690, 2959, 4035, 5918, 8070, 8877, 14795, 17754, 29590, 44385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88750 and 88770. The biggest common factor number is the GCF number.
So the greatest common factor 88750 and 88770 is 10.

Also check out the Least Common Multiple of 88750 and 88770