What is the Greatest Common Factor of 74739 and 74746?

Greatest common factor (GCF) of 74739 and 74746 is 7.

GCF(74739,74746) = 7

We will now calculate the prime factors of 74739 and 74746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74739 and 74746.

How to find the GCF of 74739 and 74746?

We will first find the prime factorization of 74739 and 74746. After we will calculate the factors of 74739 and 74746 and find the biggest common factor number .

Step-1: Prime Factorization of 74739

Prime factors of 74739 are 3, 7, 3559. Prime factorization of 74739 in exponential form is:

74739 = 3¹ × 7¹ × 3559¹

Step-2: Prime Factorization of 74746

Prime factors of 74746 are 2, 7, 19, 281. Prime factorization of 74746 in exponential form is:

74746 = 2¹ × 7¹ × 19¹ × 281¹

Step-3: Factors of 74739

List of positive integer factors of 74739 that divides 74739 without a remainder.

1, 3, 7, 21, 3559, 10677, 24913

Step-4: Factors of 74746

List of positive integer factors of 74746 that divides 74739 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 281, 562, 1967, 3934, 5339, 10678, 37373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74739 and 74746. The biggest common factor number is the GCF number.
So the greatest common factor 74739 and 74746 is 7.

Also check out the Least Common Multiple of 74739 and 74746