What is the Greatest Common Factor of 62952 and 62969?

Greatest common factor (GCF) of 62952 and 62969 is 1.

GCF(62952,62969) = 1

We will now calculate the prime factors of 62952 and 62969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62952 and 62969.

How to find the GCF of 62952 and 62969?

We will first find the prime factorization of 62952 and 62969. After we will calculate the factors of 62952 and 62969 and find the biggest common factor number .

Step-1: Prime Factorization of 62952

Prime factors of 62952 are 2, 3, 43, 61. Prime factorization of 62952 in exponential form is:

62952 = 2³ × 3¹ × 43¹ × 61¹

Step-2: Prime Factorization of 62969

Prime factors of 62969 are 62969. Prime factorization of 62969 in exponential form is:

62969 = 62969¹

Step-3: Factors of 62952

List of positive integer factors of 62952 that divides 62952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 61, 86, 122, 129, 172, 183, 244, 258, 344, 366, 488, 516, 732, 1032, 1464, 2623, 5246, 7869, 10492, 15738, 20984, 31476

Step-4: Factors of 62969

List of positive integer factors of 62969 that divides 62952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62952 and 62969. The biggest common factor number is the GCF number.
So the greatest common factor 62952 and 62969 is 1.

Also check out the Least Common Multiple of 62952 and 62969