What is the Greatest Common Factor of 94620 and 94634?

Greatest common factor (GCF) of 94620 and 94634 is 2.

GCF(94620,94634) = 2

We will now calculate the prime factors of 94620 and 94634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94620 and 94634.

How to find the GCF of 94620 and 94634?

We will first find the prime factorization of 94620 and 94634. After we will calculate the factors of 94620 and 94634 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 94634

Prime factors of 94634 are 2, 47317. Prime factorization of 94634 in exponential form is:

94634 = 2¹ × 47317¹

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 94634

List of positive integer factors of 94634 that divides 94620 without a remainder.

1, 2, 47317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94620 and 94634. The biggest common factor number is the GCF number.
So the greatest common factor 94620 and 94634 is 2.

Also check out the Least Common Multiple of 94620 and 94634