What is the Greatest Common Factor of 74949 and 74963?

Greatest common factor (GCF) of 74949 and 74963 is 7.

GCF(74949,74963) = 7

We will now calculate the prime factors of 74949 and 74963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74949 and 74963.

How to find the GCF of 74949 and 74963?

We will first find the prime factorization of 74949 and 74963. After we will calculate the factors of 74949 and 74963 and find the biggest common factor number .

Step-1: Prime Factorization of 74949

Prime factors of 74949 are 3, 7, 43, 83. Prime factorization of 74949 in exponential form is:

74949 = 3¹ × 7¹ × 43¹ × 83¹

Step-2: Prime Factorization of 74963

Prime factors of 74963 are 7, 10709. Prime factorization of 74963 in exponential form is:

74963 = 7¹ × 10709¹

Step-3: Factors of 74949

List of positive integer factors of 74949 that divides 74949 without a remainder.

1, 3, 7, 21, 43, 83, 129, 249, 301, 581, 903, 1743, 3569, 10707, 24983

Step-4: Factors of 74963

List of positive integer factors of 74963 that divides 74949 without a remainder.

1, 7, 10709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74949 and 74963. The biggest common factor number is the GCF number.
So the greatest common factor 74949 and 74963 is 7.

Also check out the Least Common Multiple of 74949 and 74963