What is the Greatest Common Factor of 61992 and 62003?

Greatest common factor (GCF) of 61992 and 62003 is 1.

GCF(61992,62003) = 1

We will now calculate the prime factors of 61992 and 62003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61992 and 62003.

How to find the GCF of 61992 and 62003?

We will first find the prime factorization of 61992 and 62003. After we will calculate the factors of 61992 and 62003 and find the biggest common factor number .

Step-1: Prime Factorization of 61992

Prime factors of 61992 are 2, 3, 7, 41. Prime factorization of 61992 in exponential form is:

61992 = 2³ × 3³ × 7¹ × 41¹

Step-2: Prime Factorization of 62003

Prime factors of 62003 are 62003. Prime factorization of 62003 in exponential form is:

62003 = 62003¹

Step-3: Factors of 61992

List of positive integer factors of 61992 that divides 61992 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 41, 42, 54, 56, 63, 72, 82, 84, 108, 123, 126, 164, 168, 189, 216, 246, 252, 287, 328, 369, 378, 492, 504, 574, 738, 756, 861, 984, 1107, 1148, 1476, 1512, 1722, 2214, 2296, 2583, 2952, 3444, 4428, 5166, 6888, 7749, 8856, 10332, 15498, 20664, 30996

Step-4: Factors of 62003

List of positive integer factors of 62003 that divides 61992 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61992 and 62003. The biggest common factor number is the GCF number.
So the greatest common factor 61992 and 62003 is 1.

Also check out the Least Common Multiple of 61992 and 62003