What is the Greatest Common Factor of 94620 and 94635?

Greatest common factor (GCF) of 94620 and 94635 is 15.

GCF(94620,94635) = 15

We will now calculate the prime factors of 94620 and 94635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94620 and 94635.

How to find the GCF of 94620 and 94635?

We will first find the prime factorization of 94620 and 94635. After we will calculate the factors of 94620 and 94635 and find the biggest common factor number .

Step-1: Prime Factorization of 94620

Prime factors of 94620 are 2, 3, 5, 19, 83. Prime factorization of 94620 in exponential form is:

94620 = 2² × 3¹ × 5¹ × 19¹ × 83¹

Step-2: Prime Factorization of 94635

Prime factors of 94635 are 3, 5, 701. Prime factorization of 94635 in exponential form is:

94635 = 3³ × 5¹ × 701¹

Step-3: Factors of 94620

List of positive integer factors of 94620 that divides 94620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 83, 95, 114, 166, 190, 228, 249, 285, 332, 380, 415, 498, 570, 830, 996, 1140, 1245, 1577, 1660, 2490, 3154, 4731, 4980, 6308, 7885, 9462, 15770, 18924, 23655, 31540, 47310

Step-4: Factors of 94635

List of positive integer factors of 94635 that divides 94620 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 701, 2103, 3505, 6309, 10515, 18927, 31545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94620 and 94635. The biggest common factor number is the GCF number.
So the greatest common factor 94620 and 94635 is 15.

Also check out the Least Common Multiple of 94620 and 94635