What is the Greatest Common Factor of 67480 and 67498?

Greatest common factor (GCF) of 67480 and 67498 is 2.

GCF(67480,67498) = 2

We will now calculate the prime factors of 67480 and 67498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67480 and 67498.

How to find the GCF of 67480 and 67498?

We will first find the prime factorization of 67480 and 67498. After we will calculate the factors of 67480 and 67498 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 67498

Prime factors of 67498 are 2, 33749. Prime factorization of 67498 in exponential form is:

67498 = 2¹ × 33749¹

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 67498

List of positive integer factors of 67498 that divides 67480 without a remainder.

1, 2, 33749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67480 and 67498. The biggest common factor number is the GCF number.
So the greatest common factor 67480 and 67498 is 2.

Also check out the Least Common Multiple of 67480 and 67498