What is the Greatest Common Factor of 70860 and 70875?

Greatest common factor (GCF) of 70860 and 70875 is 15.

GCF(70860,70875) = 15

We will now calculate the prime factors of 70860 and 70875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70860 and 70875.

How to find the GCF of 70860 and 70875?

We will first find the prime factorization of 70860 and 70875. After we will calculate the factors of 70860 and 70875 and find the biggest common factor number .

Step-1: Prime Factorization of 70860

Prime factors of 70860 are 2, 3, 5, 1181. Prime factorization of 70860 in exponential form is:

70860 = 2² × 3¹ × 5¹ × 1181¹

Step-2: Prime Factorization of 70875

Prime factors of 70875 are 3, 5, 7. Prime factorization of 70875 in exponential form is:

70875 = 3⁴ × 5³ × 7¹

Step-3: Factors of 70860

List of positive integer factors of 70860 that divides 70860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1181, 2362, 3543, 4724, 5905, 7086, 11810, 14172, 17715, 23620, 35430

Step-4: Factors of 70875

List of positive integer factors of 70875 that divides 70860 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 81, 105, 125, 135, 175, 189, 225, 315, 375, 405, 525, 567, 675, 875, 945, 1125, 1575, 2025, 2625, 2835, 3375, 4725, 7875, 10125, 14175, 23625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70860 and 70875. The biggest common factor number is the GCF number.
So the greatest common factor 70860 and 70875 is 15.

Also check out the Least Common Multiple of 70860 and 70875