What is the Greatest Common Factor of 73480 and 73490?

Greatest common factor (GCF) of 73480 and 73490 is 10.

GCF(73480,73490) = 10

We will now calculate the prime factors of 73480 and 73490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73480 and 73490.

How to find the GCF of 73480 and 73490?

We will first find the prime factorization of 73480 and 73490. After we will calculate the factors of 73480 and 73490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73490

Prime factors of 73490 are 2, 5, 7349. Prime factorization of 73490 in exponential form is:

73490 = 2¹ × 5¹ × 7349¹

Step-3: Factors of 73480

List of positive integer factors of 73480 that divides 73480 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

Step-4: Factors of 73490

List of positive integer factors of 73490 that divides 73480 without a remainder.

1, 2, 5, 10, 7349, 14698, 36745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73480 and 73490. The biggest common factor number is the GCF number.
So the greatest common factor 73480 and 73490 is 10.

Also check out the Least Common Multiple of 73480 and 73490