What is the Greatest Common Factor of 73746 and 73750?

Greatest common factor (GCF) of 73746 and 73750 is 2.

GCF(73746,73750) = 2

We will now calculate the prime factors of 73746 and 73750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73746 and 73750.

How to find the GCF of 73746 and 73750?

We will first find the prime factorization of 73746 and 73750. After we will calculate the factors of 73746 and 73750 and find the biggest common factor number .

Step-1: Prime Factorization of 73746

Prime factors of 73746 are 2, 3, 17, 241. Prime factorization of 73746 in exponential form is:

73746 = 2¹ × 3² × 17¹ × 241¹

Step-2: Prime Factorization of 73750

Prime factors of 73750 are 2, 5, 59. Prime factorization of 73750 in exponential form is:

73750 = 2¹ × 5⁴ × 59¹

Step-3: Factors of 73746

List of positive integer factors of 73746 that divides 73746 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 241, 306, 482, 723, 1446, 2169, 4097, 4338, 8194, 12291, 24582, 36873

Step-4: Factors of 73750

List of positive integer factors of 73750 that divides 73746 without a remainder.

1, 2, 5, 10, 25, 50, 59, 118, 125, 250, 295, 590, 625, 1250, 1475, 2950, 7375, 14750, 36875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73746 and 73750. The biggest common factor number is the GCF number.
So the greatest common factor 73746 and 73750 is 2.

Also check out the Least Common Multiple of 73746 and 73750