What is the Greatest Common Factor of 73948 and 73958?

Greatest common factor (GCF) of 73948 and 73958 is 2.

GCF(73948,73958) = 2

We will now calculate the prime factors of 73948 and 73958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73948 and 73958.

How to find the GCF of 73948 and 73958?

We will first find the prime factorization of 73948 and 73958. After we will calculate the factors of 73948 and 73958 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 73958

Prime factors of 73958 are 2, 36979. Prime factorization of 73958 in exponential form is:

73958 = 2¹ × 36979¹

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 73958

List of positive integer factors of 73958 that divides 73948 without a remainder.

1, 2, 36979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73948 and 73958. The biggest common factor number is the GCF number.
So the greatest common factor 73948 and 73958 is 2.

Also check out the Least Common Multiple of 73948 and 73958