What is the Greatest Common Factor of 73948 and 73962?

Greatest common factor (GCF) of 73948 and 73962 is 14.

GCF(73948,73962) = 14

We will now calculate the prime factors of 73948 and 73962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73948 and 73962.

How to find the GCF of 73948 and 73962?

We will first find the prime factorization of 73948 and 73962. After we will calculate the factors of 73948 and 73962 and find the biggest common factor number .

Step-1: Prime Factorization of 73948

Prime factors of 73948 are 2, 7, 19, 139. Prime factorization of 73948 in exponential form is:

73948 = 2² × 7¹ × 19¹ × 139¹

Step-2: Prime Factorization of 73962

Prime factors of 73962 are 2, 3, 7, 587. Prime factorization of 73962 in exponential form is:

73962 = 2¹ × 3² × 7¹ × 587¹

Step-3: Factors of 73948

List of positive integer factors of 73948 that divides 73948 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 139, 266, 278, 532, 556, 973, 1946, 2641, 3892, 5282, 10564, 18487, 36974

Step-4: Factors of 73962

List of positive integer factors of 73962 that divides 73948 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 587, 1174, 1761, 3522, 4109, 5283, 8218, 10566, 12327, 24654, 36981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73948 and 73962. The biggest common factor number is the GCF number.
So the greatest common factor 73948 and 73962 is 14.

Also check out the Least Common Multiple of 73948 and 73962