What is the Greatest Common Factor of 73941 and 73948?

Greatest common factor (GCF) of 73941 and 73948 is 7.

GCF(73941,73948) = 7

We will now calculate the prime factors of 73941 and 73948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73941 and 73948.

How to find the GCF of 73941 and 73948?

We will first find the prime factorization of 73941 and 73948. After we will calculate the factors of 73941 and 73948 and find the biggest common factor number .

Step-1: Prime Factorization of 73941

Prime factors of 73941 are 3, 7, 503. Prime factorization of 73941 in exponential form is:

73941 = 3¹ × 7² × 503¹

Step-2: 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-3: Factors of 73941

List of positive integer factors of 73941 that divides 73941 without a remainder.

1, 3, 7, 21, 49, 147, 503, 1509, 3521, 10563, 24647

Step-4: Factors of 73948

List of positive integer factors of 73948 that divides 73941 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73941 and 73948. The biggest common factor number is the GCF number.
So the greatest common factor 73941 and 73948 is 7.

Also check out the Least Common Multiple of 73941 and 73948