What is the Greatest Common Factor of 73438 and 73450?

Greatest common factor (GCF) of 73438 and 73450 is 2.

GCF(73438,73450) = 2

We will now calculate the prime factors of 73438 and 73450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73438 and 73450.

How to find the GCF of 73438 and 73450?

We will first find the prime factorization of 73438 and 73450. After we will calculate the factors of 73438 and 73450 and find the biggest common factor number .

Step-1: Prime Factorization of 73438

Prime factors of 73438 are 2, 73, 503. Prime factorization of 73438 in exponential form is:

73438 = 2¹ × 73¹ × 503¹

Step-2: Prime Factorization of 73450

Prime factors of 73450 are 2, 5, 13, 113. Prime factorization of 73450 in exponential form is:

73450 = 2¹ × 5² × 13¹ × 113¹

Step-3: Factors of 73438

List of positive integer factors of 73438 that divides 73438 without a remainder.

1, 2, 73, 146, 503, 1006, 36719

Step-4: Factors of 73450

List of positive integer factors of 73450 that divides 73438 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 113, 130, 226, 325, 565, 650, 1130, 1469, 2825, 2938, 5650, 7345, 14690, 36725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73438 and 73450. The biggest common factor number is the GCF number.
So the greatest common factor 73438 and 73450 is 2.

Also check out the Least Common Multiple of 73438 and 73450