What is the Greatest Common Factor of 96070 and 96075?

Greatest common factor (GCF) of 96070 and 96075 is 5.

GCF(96070,96075) = 5

We will now calculate the prime factors of 96070 and 96075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96070 and 96075.

How to find the GCF of 96070 and 96075?

We will first find the prime factorization of 96070 and 96075. After we will calculate the factors of 96070 and 96075 and find the biggest common factor number .

Step-1: Prime Factorization of 96070

Prime factors of 96070 are 2, 5, 13, 739. Prime factorization of 96070 in exponential form is:

96070 = 2¹ × 5¹ × 13¹ × 739¹

Step-2: Prime Factorization of 96075

Prime factors of 96075 are 3, 5, 7, 61. Prime factorization of 96075 in exponential form is:

96075 = 3² × 5² × 7¹ × 61¹

Step-3: Factors of 96070

List of positive integer factors of 96070 that divides 96070 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 739, 1478, 3695, 7390, 9607, 19214, 48035

Step-4: Factors of 96075

List of positive integer factors of 96075 that divides 96070 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 61, 63, 75, 105, 175, 183, 225, 305, 315, 427, 525, 549, 915, 1281, 1525, 1575, 2135, 2745, 3843, 4575, 6405, 10675, 13725, 19215, 32025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96070 and 96075. The biggest common factor number is the GCF number.
So the greatest common factor 96070 and 96075 is 5.

Also check out the Least Common Multiple of 96070 and 96075