What is the Greatest Common Factor of 67480 and 67487?

Greatest common factor (GCF) of 67480 and 67487 is 7.

GCF(67480,67487) = 7

We will now calculate the prime factors of 67480 and 67487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67480 and 67487.

How to find the GCF of 67480 and 67487?

We will first find the prime factorization of 67480 and 67487. After we will calculate the factors of 67480 and 67487 and find the biggest common factor number .

Step-1: Prime Factorization of 67480

Prime factors of 67480 are 2, 5, 7, 241. Prime factorization of 67480 in exponential form is:

67480 = 2³ × 5¹ × 7¹ × 241¹

Step-2: Prime Factorization of 67487

Prime factors of 67487 are 7, 31, 311. Prime factorization of 67487 in exponential form is:

67487 = 7¹ × 31¹ × 311¹

Step-3: Factors of 67480

List of positive integer factors of 67480 that divides 67480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 241, 280, 482, 964, 1205, 1687, 1928, 2410, 3374, 4820, 6748, 8435, 9640, 13496, 16870, 33740

Step-4: Factors of 67487

List of positive integer factors of 67487 that divides 67480 without a remainder.

1, 7, 31, 217, 311, 2177, 9641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67480 and 67487. The biggest common factor number is the GCF number.
So the greatest common factor 67480 and 67487 is 7.

Also check out the Least Common Multiple of 67480 and 67487