What is the Greatest Common Factor of 74658 and 74670?

Greatest common factor (GCF) of 74658 and 74670 is 6.

GCF(74658,74670) = 6

We will now calculate the prime factors of 74658 and 74670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74658 and 74670.

How to find the GCF of 74658 and 74670?

We will first find the prime factorization of 74658 and 74670. After we will calculate the factors of 74658 and 74670 and find the biggest common factor number .

Step-1: Prime Factorization of 74658

Prime factors of 74658 are 2, 3, 23, 541. Prime factorization of 74658 in exponential form is:

74658 = 2¹ × 3¹ × 23¹ × 541¹

Step-2: Prime Factorization of 74670

Prime factors of 74670 are 2, 3, 5, 19, 131. Prime factorization of 74670 in exponential form is:

74670 = 2¹ × 3¹ × 5¹ × 19¹ × 131¹

Step-3: Factors of 74658

List of positive integer factors of 74658 that divides 74658 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 541, 1082, 1623, 3246, 12443, 24886, 37329

Step-4: Factors of 74670

List of positive integer factors of 74670 that divides 74658 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 131, 190, 262, 285, 393, 570, 655, 786, 1310, 1965, 2489, 3930, 4978, 7467, 12445, 14934, 24890, 37335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74658 and 74670. The biggest common factor number is the GCF number.
So the greatest common factor 74658 and 74670 is 6.

Also check out the Least Common Multiple of 74658 and 74670