What is the Greatest Common Factor of 74549 and 74560?

Greatest common factor (GCF) of 74549 and 74560 is 1.

GCF(74549,74560) = 1

We will now calculate the prime factors of 74549 and 74560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74549 and 74560.

How to find the GCF of 74549 and 74560?

We will first find the prime factorization of 74549 and 74560. After we will calculate the factors of 74549 and 74560 and find the biggest common factor number .

Step-1: Prime Factorization of 74549

Prime factors of 74549 are 127, 587. Prime factorization of 74549 in exponential form is:

74549 = 127¹ × 587¹

Step-2: Prime Factorization of 74560

Prime factors of 74560 are 2, 5, 233. Prime factorization of 74560 in exponential form is:

74560 = 2⁶ × 5¹ × 233¹

Step-3: Factors of 74549

List of positive integer factors of 74549 that divides 74549 without a remainder.

1, 127, 587

Step-4: Factors of 74560

List of positive integer factors of 74560 that divides 74549 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 233, 320, 466, 932, 1165, 1864, 2330, 3728, 4660, 7456, 9320, 14912, 18640, 37280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74549 and 74560. The biggest common factor number is the GCF number.
So the greatest common factor 74549 and 74560 is 1.

Also check out the Least Common Multiple of 74549 and 74560