What is the Greatest Common Factor of 73996 and 74009?

Greatest common factor (GCF) of 73996 and 74009 is 13.

GCF(73996,74009) = 13

We will now calculate the prime factors of 73996 and 74009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73996 and 74009.

How to find the GCF of 73996 and 74009?

We will first find the prime factorization of 73996 and 74009. After we will calculate the factors of 73996 and 74009 and find the biggest common factor number .

Step-1: Prime Factorization of 73996

Prime factors of 73996 are 2, 13, 1423. Prime factorization of 73996 in exponential form is:

73996 = 2² × 13¹ × 1423¹

Step-2: Prime Factorization of 74009

Prime factors of 74009 are 13, 5693. Prime factorization of 74009 in exponential form is:

74009 = 13¹ × 5693¹

Step-3: Factors of 73996

List of positive integer factors of 73996 that divides 73996 without a remainder.

1, 2, 4, 13, 26, 52, 1423, 2846, 5692, 18499, 36998

Step-4: Factors of 74009

List of positive integer factors of 74009 that divides 73996 without a remainder.

1, 13, 5693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73996 and 74009. The biggest common factor number is the GCF number.
So the greatest common factor 73996 and 74009 is 13.

Also check out the Least Common Multiple of 73996 and 74009