What is the Greatest Common Factor of 74954 and 74962?

Greatest common factor (GCF) of 74954 and 74962 is 2.

GCF(74954,74962) = 2

We will now calculate the prime factors of 74954 and 74962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74954 and 74962.

How to find the GCF of 74954 and 74962?

We will first find the prime factorization of 74954 and 74962. After we will calculate the factors of 74954 and 74962 and find the biggest common factor number .

Step-1: Prime Factorization of 74954

Prime factors of 74954 are 2, 11, 3407. Prime factorization of 74954 in exponential form is:

74954 = 2¹ × 11¹ × 3407¹

Step-2: Prime Factorization of 74962

Prime factors of 74962 are 2, 37, 1013. Prime factorization of 74962 in exponential form is:

74962 = 2¹ × 37¹ × 1013¹

Step-3: Factors of 74954

List of positive integer factors of 74954 that divides 74954 without a remainder.

1, 2, 11, 22, 3407, 6814, 37477

Step-4: Factors of 74962

List of positive integer factors of 74962 that divides 74954 without a remainder.

1, 2, 37, 74, 1013, 2026, 37481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74954 and 74962. The biggest common factor number is the GCF number.
So the greatest common factor 74954 and 74962 is 2.

Also check out the Least Common Multiple of 74954 and 74962