What is the Greatest Common Factor of 45990 and 46010?

Greatest common factor (GCF) of 45990 and 46010 is 10.

GCF(45990,46010) = 10

We will now calculate the prime factors of 45990 and 46010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45990 and 46010.

How to find the GCF of 45990 and 46010?

We will first find the prime factorization of 45990 and 46010. After we will calculate the factors of 45990 and 46010 and find the biggest common factor number .

Step-1: Prime Factorization of 45990

Prime factors of 45990 are 2, 3, 5, 7, 73. Prime factorization of 45990 in exponential form is:

45990 = 2¹ × 3² × 5¹ × 7¹ × 73¹

Step-2: Prime Factorization of 46010

Prime factors of 46010 are 2, 5, 43, 107. Prime factorization of 46010 in exponential form is:

46010 = 2¹ × 5¹ × 43¹ × 107¹

Step-3: Factors of 45990

List of positive integer factors of 45990 that divides 45990 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 73, 90, 105, 126, 146, 210, 219, 315, 365, 438, 511, 630, 657, 730, 1022, 1095, 1314, 1533, 2190, 2555, 3066, 3285, 4599, 5110, 6570, 7665, 9198, 15330, 22995

Step-4: Factors of 46010

List of positive integer factors of 46010 that divides 45990 without a remainder.

1, 2, 5, 10, 43, 86, 107, 214, 215, 430, 535, 1070, 4601, 9202, 23005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45990 and 46010. The biggest common factor number is the GCF number.
So the greatest common factor 45990 and 46010 is 10.

Also check out the Least Common Multiple of 45990 and 46010