What is the Greatest Common Factor of 72470 and 72474?

Greatest common factor (GCF) of 72470 and 72474 is 2.

GCF(72470,72474) = 2

We will now calculate the prime factors of 72470 and 72474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72470 and 72474.

How to find the GCF of 72470 and 72474?

We will first find the prime factorization of 72470 and 72474. After we will calculate the factors of 72470 and 72474 and find the biggest common factor number .

Step-1: Prime Factorization of 72470

Prime factors of 72470 are 2, 5, 7247. Prime factorization of 72470 in exponential form is:

72470 = 2¹ × 5¹ × 7247¹

Step-2: Prime Factorization of 72474

Prime factors of 72474 are 2, 3, 47, 257. Prime factorization of 72474 in exponential form is:

72474 = 2¹ × 3¹ × 47¹ × 257¹

Step-3: Factors of 72470

List of positive integer factors of 72470 that divides 72470 without a remainder.

1, 2, 5, 10, 7247, 14494, 36235

Step-4: Factors of 72474

List of positive integer factors of 72474 that divides 72470 without a remainder.

1, 2, 3, 6, 47, 94, 141, 257, 282, 514, 771, 1542, 12079, 24158, 36237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72470 and 72474. The biggest common factor number is the GCF number.
So the greatest common factor 72470 and 72474 is 2.

Also check out the Least Common Multiple of 72470 and 72474