What is the Greatest Common Factor of 46041 and 46050?

Greatest common factor (GCF) of 46041 and 46050 is 3.

GCF(46041,46050) = 3

We will now calculate the prime factors of 46041 and 46050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46041 and 46050.

How to find the GCF of 46041 and 46050?

We will first find the prime factorization of 46041 and 46050. After we will calculate the factors of 46041 and 46050 and find the biggest common factor number .

Step-1: Prime Factorization of 46041

Prime factors of 46041 are 3, 103, 149. Prime factorization of 46041 in exponential form is:

46041 = 3¹ × 103¹ × 149¹

Step-2: Prime Factorization of 46050

Prime factors of 46050 are 2, 3, 5, 307. Prime factorization of 46050 in exponential form is:

46050 = 2¹ × 3¹ × 5² × 307¹

Step-3: Factors of 46041

List of positive integer factors of 46041 that divides 46041 without a remainder.

1, 3, 103, 149, 309, 447, 15347

Step-4: Factors of 46050

List of positive integer factors of 46050 that divides 46041 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 307, 614, 921, 1535, 1842, 3070, 4605, 7675, 9210, 15350, 23025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46041 and 46050. The biggest common factor number is the GCF number.
So the greatest common factor 46041 and 46050 is 3.

Also check out the Least Common Multiple of 46041 and 46050