What is the Greatest Common Factor of 73460 and 73480?

Greatest common factor (GCF) of 73460 and 73480 is 20.

GCF(73460,73480) = 20

We will now calculate the prime factors of 73460 and 73480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73460 and 73480.

How to find the GCF of 73460 and 73480?

We will first find the prime factorization of 73460 and 73480. After we will calculate the factors of 73460 and 73480 and find the biggest common factor number .

Step-1: Prime Factorization of 73460

Prime factors of 73460 are 2, 5, 3673. Prime factorization of 73460 in exponential form is:

73460 = 2² × 5¹ × 3673¹

Step-2: Prime Factorization of 73480

Prime factors of 73480 are 2, 5, 11, 167. Prime factorization of 73480 in exponential form is:

73480 = 2³ × 5¹ × 11¹ × 167¹

Step-3: Factors of 73460

List of positive integer factors of 73460 that divides 73460 without a remainder.

1, 2, 4, 5, 10, 20, 3673, 7346, 14692, 18365, 36730

Step-4: Factors of 73480

List of positive integer factors of 73480 that divides 73460 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 167, 220, 334, 440, 668, 835, 1336, 1670, 1837, 3340, 3674, 6680, 7348, 9185, 14696, 18370, 36740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73460 and 73480. The biggest common factor number is the GCF number.
So the greatest common factor 73460 and 73480 is 20.

Also check out the Least Common Multiple of 73460 and 73480