What is the Greatest Common Factor of 45412 and 45430?
Greatest common factor (GCF) of 45412 and 45430 is 2.
GCF(45412,45430) = 2
We will now calculate the prime factors of 45412 and 45430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45412 and 45430.
How to find the GCF of 45412 and 45430?
We will first find the prime factorization of 45412 and 45430. After we will calculate the factors of 45412 and 45430 and find the biggest common factor number .
Step-1: Prime Factorization of 45412
Prime factors of 45412 are 2, 11353. Prime factorization of 45412 in exponential form is:
45412 = 22 × 113531
Step-2: Prime Factorization of 45430
Prime factors of 45430 are 2, 5, 7, 11, 59. Prime factorization of 45430 in exponential form is:
45430 = 21 × 51 × 71 × 111 × 591
Step-3: Factors of 45412
List of positive integer factors of 45412 that divides 45412 without a remainder.
1, 2, 4, 11353, 22706
Step-4: Factors of 45430
List of positive integer factors of 45430 that divides 45412 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 59, 70, 77, 110, 118, 154, 295, 385, 413, 590, 649, 770, 826, 1298, 2065, 3245, 4130, 4543, 6490, 9086, 22715
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45412 and 45430. The biggest common factor number is the GCF number.
So the greatest common factor 45412 and 45430 is 2.
Also check out the Least Common Multiple of 45412 and 45430
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