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What is the Greatest Common Factor of 46007 and 46024?

Greatest common factor (GCF) of 46007 and 46024 is 1.

GCF(46007,46024) = 1

We will now calculate the prime factors of 46007 and 46024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46007 and 46024.

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How to find the GCF of 46007 and 46024?

We will first find the prime factorization of 46007 and 46024. After we will calculate the factors of 46007 and 46024 and find the biggest common factor number .

Step-1: Prime Factorization of 46007

Prime factors of 46007 are 13, 3539. Prime factorization of 46007 in exponential form is:

46007 = 131 × 35391

Step-2: Prime Factorization of 46024

Prime factors of 46024 are 2, 11, 523. Prime factorization of 46024 in exponential form is:

46024 = 23 × 111 × 5231

Step-3: Factors of 46007

List of positive integer factors of 46007 that divides 46007 without a remainder.

1, 13, 3539

Step-4: Factors of 46024

List of positive integer factors of 46024 that divides 46007 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 523, 1046, 2092, 4184, 5753, 11506, 23012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46007 and 46024. The biggest common factor number is the GCF number.
So the greatest common factor 46007 and 46024 is 1.

Also check out the Least Common Multiple of 46007 and 46024