What is the Greatest Common Factor of 44652 and 44670?

Greatest common factor (GCF) of 44652 and 44670 is 6.

GCF(44652,44670) = 6

We will now calculate the prime factors of 44652 and 44670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44652 and 44670.

How to find the GCF of 44652 and 44670?

We will first find the prime factorization of 44652 and 44670. After we will calculate the factors of 44652 and 44670 and find the biggest common factor number .

Step-1: Prime Factorization of 44652

Prime factors of 44652 are 2, 3, 61. Prime factorization of 44652 in exponential form is:

44652 = 2² × 3¹ × 61²

Step-2: Prime Factorization of 44670

Prime factors of 44670 are 2, 3, 5, 1489. Prime factorization of 44670 in exponential form is:

44670 = 2¹ × 3¹ × 5¹ × 1489¹

Step-3: Factors of 44652

List of positive integer factors of 44652 that divides 44652 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732, 3721, 7442, 11163, 14884, 22326

Step-4: Factors of 44670

List of positive integer factors of 44670 that divides 44652 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1489, 2978, 4467, 7445, 8934, 14890, 22335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44652 and 44670. The biggest common factor number is the GCF number.
So the greatest common factor 44652 and 44670 is 6.

Also check out the Least Common Multiple of 44652 and 44670