What is the Greatest Common Factor of 88750 and 88766?

Greatest common factor (GCF) of 88750 and 88766 is 2.

GCF(88750,88766) = 2

We will now calculate the prime factors of 88750 and 88766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88750 and 88766.

How to find the GCF of 88750 and 88766?

We will first find the prime factorization of 88750 and 88766. After we will calculate the factors of 88750 and 88766 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 88766

Prime factors of 88766 are 2, 44383. Prime factorization of 88766 in exponential form is:

88766 = 2¹ × 44383¹

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 88766

List of positive integer factors of 88766 that divides 88750 without a remainder.

1, 2, 44383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88750 and 88766. The biggest common factor number is the GCF number.
So the greatest common factor 88750 and 88766 is 2.

Also check out the Least Common Multiple of 88750 and 88766