What is the Greatest Common Factor of 88970 and 88980?

Greatest common factor (GCF) of 88970 and 88980 is 10.

GCF(88970,88980) = 10

We will now calculate the prime factors of 88970 and 88980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88970 and 88980.

How to find the GCF of 88970 and 88980?

We will first find the prime factorization of 88970 and 88980. After we will calculate the factors of 88970 and 88980 and find the biggest common factor number .

Step-1: Prime Factorization of 88970

Prime factors of 88970 are 2, 5, 7, 31, 41. Prime factorization of 88970 in exponential form is:

88970 = 2¹ × 5¹ × 7¹ × 31¹ × 41¹

Step-2: Prime Factorization of 88980

Prime factors of 88980 are 2, 3, 5, 1483. Prime factorization of 88980 in exponential form is:

88980 = 2² × 3¹ × 5¹ × 1483¹

Step-3: Factors of 88970

List of positive integer factors of 88970 that divides 88970 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 41, 62, 70, 82, 155, 205, 217, 287, 310, 410, 434, 574, 1085, 1271, 1435, 2170, 2542, 2870, 6355, 8897, 12710, 17794, 44485

Step-4: Factors of 88980

List of positive integer factors of 88980 that divides 88970 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1483, 2966, 4449, 5932, 7415, 8898, 14830, 17796, 22245, 29660, 44490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88970 and 88980. The biggest common factor number is the GCF number.
So the greatest common factor 88970 and 88980 is 10.

Also check out the Least Common Multiple of 88970 and 88980