What is the Greatest Common Factor of 74026 and 74040?

Greatest common factor (GCF) of 74026 and 74040 is 2.

GCF(74026,74040) = 2

We will now calculate the prime factors of 74026 and 74040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74026 and 74040.

How to find the GCF of 74026 and 74040?

We will first find the prime factorization of 74026 and 74040. After we will calculate the factors of 74026 and 74040 and find the biggest common factor number .

Step-1: Prime Factorization of 74026

Prime factors of 74026 are 2, 37013. Prime factorization of 74026 in exponential form is:

74026 = 2¹ × 37013¹

Step-2: Prime Factorization of 74040

Prime factors of 74040 are 2, 3, 5, 617. Prime factorization of 74040 in exponential form is:

74040 = 2³ × 3¹ × 5¹ × 617¹

Step-3: Factors of 74026

List of positive integer factors of 74026 that divides 74026 without a remainder.

1, 2, 37013

Step-4: Factors of 74040

List of positive integer factors of 74040 that divides 74026 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 617, 1234, 1851, 2468, 3085, 3702, 4936, 6170, 7404, 9255, 12340, 14808, 18510, 24680, 37020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74026 and 74040. The biggest common factor number is the GCF number.
So the greatest common factor 74026 and 74040 is 2.

Also check out the Least Common Multiple of 74026 and 74040