What is the Greatest Common Factor of 61464 and 61469?

Greatest common factor (GCF) of 61464 and 61469 is 1.

GCF(61464,61469) = 1

We will now calculate the prime factors of 61464 and 61469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61464 and 61469.

How to find the GCF of 61464 and 61469?

We will first find the prime factorization of 61464 and 61469. After we will calculate the factors of 61464 and 61469 and find the biggest common factor number .

Step-1: Prime Factorization of 61464

Prime factors of 61464 are 2, 3, 13, 197. Prime factorization of 61464 in exponential form is:

61464 = 2³ × 3¹ × 13¹ × 197¹

Step-2: Prime Factorization of 61469

Prime factors of 61469 are 61469. Prime factorization of 61469 in exponential form is:

61469 = 61469¹

Step-3: Factors of 61464

List of positive integer factors of 61464 that divides 61464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 197, 312, 394, 591, 788, 1182, 1576, 2364, 2561, 4728, 5122, 7683, 10244, 15366, 20488, 30732

Step-4: Factors of 61469

List of positive integer factors of 61469 that divides 61464 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61464 and 61469. The biggest common factor number is the GCF number.
So the greatest common factor 61464 and 61469 is 1.

Also check out the Least Common Multiple of 61464 and 61469