What is the Greatest Common Factor of 67456 and 67461?

Greatest common factor (GCF) of 67456 and 67461 is 1.

GCF(67456,67461) = 1

We will now calculate the prime factors of 67456 and 67461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67456 and 67461.

How to find the GCF of 67456 and 67461?

We will first find the prime factorization of 67456 and 67461. After we will calculate the factors of 67456 and 67461 and find the biggest common factor number .

Step-1: Prime Factorization of 67456

Prime factors of 67456 are 2, 17, 31. Prime factorization of 67456 in exponential form is:

67456 = 2⁷ × 17¹ × 31¹

Step-2: Prime Factorization of 67461

Prime factors of 67461 are 3, 113, 199. Prime factorization of 67461 in exponential form is:

67461 = 3¹ × 113¹ × 199¹

Step-3: Factors of 67456

List of positive integer factors of 67456 that divides 67456 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 64, 68, 124, 128, 136, 248, 272, 496, 527, 544, 992, 1054, 1088, 1984, 2108, 2176, 3968, 4216, 8432, 16864, 33728

Step-4: Factors of 67461

List of positive integer factors of 67461 that divides 67456 without a remainder.

1, 3, 113, 199, 339, 597, 22487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67456 and 67461. The biggest common factor number is the GCF number.
So the greatest common factor 67456 and 67461 is 1.

Also check out the Least Common Multiple of 67456 and 67461